Details

sample1.6s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 8.184814%

Guaranteed chance to sample good point: 53.805757%

Results

8.0ms	256×	body	80	valid
1.0ms	44×	body	80	invalid

simplify108.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	25	4
2	58	4
3	96	4
4	131	4
5	155	4
6	179	4
7	310	4
8	643	4
9	1171	4
10	2024	4
11	3276	4
12	5001	4

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 3.9b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
8.7b	(* (- y x) (/ z t))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-r`
12×	`*-un-lft-identity`
10×	`add-cube-cbrt` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`associate-l`
4×	`pow1` `add-log-exp`
2×	`frac-times` `flip3--` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `associate-r/` `div-exp` `pow-prod-down` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 49

Calls

2 calls:

3.0ms	(+ x (* (- y x) (/ z t)))
9.0ms	(* (- y x) (/ z t))

series26.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(+ x (* (- y x) (/ z t)))
12.0ms	(* (- y x) (/ z t))

simplify37.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	296	310
1	1245	287
2	5001	275

prune86.0ms

Filtered

39 candidates to 55 candidates (-41.0%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	47	8	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	47	9	56

Merged error: 0.0b

Counts

56 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
2.7b	(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
14×	`add-sqr-sqrt` `add-cbrt-cube`
11×	`*-un-lft-identity`
9×	`cbrt-prod` `add-cube-cbrt` `prod-exp` `cbrt-unprod`
6×	`pow1`
5×	`associate-r` `associate-l`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
3×	`pow1/3`
2×	`frac-times` `flip3--` `times-frac` `associate-*l/` `flip--` `unswap-sqr`
1×	`associate-r/` `pow-prod-down` `-commutative` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 69

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
16.0ms	(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

series112.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt z)
24.0ms	(cbrt z)
22.0ms	(cbrt z)
44.0ms	(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

simplify48.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	399	665
1	1637	533
2	5001	479

prune120.0ms

Filtered

57 candidates to 81 candidates (-42.1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	81	9	90

Merged error: 0.0b

Counts

90 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- y x))
0.6b	(cbrt (- y x))
3.5b	(* (cbrt (- y x)) (/ z t))
5.2b	(* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ z t)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

116×	`cbrt-div`
84×	`frac-times`
58×	`flip3--` `flip--`
40×	`associate-*l/`
31×	`add-sqr-sqrt`
30×	`add-exp-log`
27×	`associate-*r/`
21×	`*-un-lft-identity`
18×	`pow1` `add-cbrt-cube`
17×	`cbrt-prod`
15×	`add-cube-cbrt` `prod-exp` `cbrt-unprod`
14×	`associate-r`
11×	`times-frac`
9×	`associate-l` `pow-prod-down`
4×	`add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `div-exp` `distribute-lft-out--` `difference-of-squares`
2×	`pow1/3` `*-commutative`
1×	`div-inv`

Counts

4 → 152

Calls

4 calls:

3.0ms	(cbrt (- y x))
3.0ms	(cbrt (- y x))
10.0ms	(* (cbrt (- y x)) (/ z t))
19.0ms	(* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ z t)))

series110.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(cbrt (- y x))
27.0ms	(cbrt (- y x))
45.0ms	(* (cbrt (- y x)) (/ z t))
12.0ms	(* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ z t)))

simplify79.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	810	2067
1	2681	1872
2	5001	1807

prune167.0ms

Filtered

96 candidates to 164 candidates (-70.8%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	162	2	164
Fresh	0	6	6
Picked	1	0	1
Done	0	2	2
Total	163	10	173

Merged error: 0b

Counts

173 → 10

localize16.0ms

Local error

Found 4 expressions with local error:

5.2b	(* (* (cbrt (- y x)) (cbrt (- y x))) (* (* (cbrt (* (cbrt (- y x)) (/ z t))) (cbrt (* (cbrt (- y x)) (/ z t)))) (cbrt (* (cbrt (- y x)) (/ z t)))))
11.0b	(cbrt (* (cbrt (- y x)) (/ z t)))
11.0b	(cbrt (* (cbrt (- y x)) (/ z t)))
11.0b	(cbrt (* (cbrt (- y x)) (/ z t)))

rewrite639.0ms

Algorithm

rewrite-expression-head

Rules

11367×	`cbrt-div`
7459×	`frac-times`
3246×	`flip3--` `flip--`
2975×	`associate-*l/`
1937×	`associate-*r/`
25×	`pow1` `add-exp-log`
19×	`pow-prod-down`
15×	`prod-exp` `cbrt-unprod`
11×	`add-cbrt-cube`
8×	`pow1/3`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
3×	`cbrt-prod`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 2014

Calls

4 calls:

99.0ms	(* (* (cbrt (- y x)) (cbrt (- y x))) (* (* (cbrt (* (cbrt (- y x)) (/ z t))) (cbrt (* (cbrt (- y x)) (/ z t)))) (cbrt (* (cbrt (- y x)) (/ z t)))))
6.0ms	(cbrt (* (cbrt (- y x)) (/ z t)))
7.0ms	(cbrt (* (cbrt (- y x)) (/ z t)))
7.0ms	(cbrt (* (cbrt (- y x)) (/ z t)))

series179.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(* (* (cbrt (- y x)) (cbrt (- y x))) (* (* (cbrt (* (cbrt (- y x)) (/ z t))) (cbrt (* (cbrt (- y x)) (/ z t)))) (cbrt (* (cbrt (- y x)) (/ z t)))))
53.0ms	(cbrt (* (cbrt (- y x)) (/ z t)))
58.0ms	(cbrt (* (cbrt (- y x)) (/ z t)))
54.0ms	(cbrt (* (cbrt (- y x)) (/ z t)))

simplify784.0ms

Algorithm

egg-herbie

Counts

2026 → 2026

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5001	91527

prune8.7s

Filtered

2012 candidates to 2026 candidates (-0.7%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	2026	0	2026
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	2026	10	2036

Merged error: 0b

Counts

2036 → 10

regimes524.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	14
1	17	14

end0.0ms

sample2.3s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 8.184814%

Guaranteed chance to sample good point: 53.805757%

Results

275.0ms	8000×	body	80	valid
60.0ms	1744×	body	80	invalid

Details

sample1.6s

simplify108.0ms

prune3.0ms

localize6.0ms

rewrite13.0ms

series26.0ms

simplify37.0ms

prune86.0ms

localize15.0ms

rewrite22.0ms

series112.0ms

simplify48.0ms

prune120.0ms

localize10.0ms

rewrite43.0ms

series110.0ms

simplify79.0ms

prune167.0ms

localize16.0ms

rewrite639.0ms

series179.0ms

simplify784.0ms

prune8.7s

regimes524.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.3s

Profiling